IUPUI ECON E270 – Which of the following statements

ALAST NAME:FIRST NAME:YOUR LETTER ANSWERS?1Note:2When done, using the same naming format as your3homework files, name this file as:4e270Lastname Firstname TEST65and e-mail it back tostowfig@iupui.edu67891011121314151ABCD Which of the following statements about Type I and Type II errors is correct:Type I: Reject a true alternative hypothesis.Type II: Do not reject a false alternative.Type I: Reject a true null hypothesis.Type II: Do not reject a false null hypothesis.Type I: Do not reject a false null hypothesis.Type II: Reject a true null hypothesis.Type I: Reject a false null hypothesis.Type II: Reject a true null hypothesis. ABCD In a test of hypothesis, the symbol ? represents:The level of significance, or the probability of committing a Type II error.The level of significance, or the probability of not rejecting a false H ?.The power of the test, or the probability of rejecting a false H ?.The level of significance, or the probability of rejecting a true H ?. ABCD Suppose in a test of hypothesis the probability value (p-value) is 0.0649. Then you should,reject H? at ? = 0.05, but not reject H? at ? = 0.10.reject H? at ? = 0.10, but not reject H? at ? = 0.05.not reject H? at ? = 0.10.reject H? at ? = 0.05. 2 3 Next FIVE questions are relatedConsider the following hypothesis test.H?: ? ? 80H?: ? < 80The sample size is n = 105, and the sample mean is 78 with the standard deviation s = 12.4This test is:A An upper-tail test.B A lower-tail test.C A two-tail test.D A closed-interval test.5ABCD The test statistic is (if negative, use the absolute value),1.581.621.681.71 ABCD The critical value for a 5 percent level of significance is:1.281.641.962.33 ABCD The p-value for the test is,0.04360.05710.06550.0872 ABCD The test leads you to:Reject H? at a 5 percent, but do not reject H? at a 10 percent level of significance.Reject H? at a 5 percent, and reject H? at a 10 percent level of significance.Do not reject H? at a 5 percent, but reject H? at a 10 percent level of significance.Do not reject H? at a 5 percent, and do not reject H? at a 10 percent level of significance. 6 7 8 Next THREE questions are based on the followingAmerican workers spend an average of 46 minutes to and from work in a typical day. In a sample of n = 104employed adults in Indianapolis metropolitan area (IMA), the average commuting time to work was xx = 40.5minutes, with s = 21.6 minutes.Is there enough evidence, at ? = 0.05, to conclude that the average commuting time in IMA is less than thenational average?9To perform a hypothesis test, the null and alternative hypotheses for this test are:A H?: ? ? 46H?: ? < 46B H?: ? < 46H?: ? ? 46C H?: ? ? 46H?: ? > 46D H?: ? > 46H?: ? ? 4610ABCD For the previous question, the test statistic is |TS| = _______. (if negative, use the absolute value)2.01DNR H?Conclude the average commuting time in IMA is not less than the national average.2.01Reject H?. Conclude the average commuting time in IMA is less than the national average.2.60DNR H?Conclude the average commuting time in IMA is not less than the national average.2.60Reject H?. Conclude the average commuting time in IMA is less than the national average. ABCD In the previous question the, p-value ? ______.0.03010.02220.01390.0047 11 12 The average age at marriage in the United State is 26.8 for men. In a random sample of n = 110 Indianamarried men, the average age at marriage was xx = 25.4 with a standard deviation of s = 6.25 years.Does this sample provide a significant evidence that the average age at marriage among Indiana men isbelow the national average?State the null and alternative hypotheses and compute the test statistic. For the decision rule use ? = 0.05.The test statistic is,|TS| = _______.A1.54Reject H?. Conclude that the average age at marriage for Indiana men is below the nationalaverageB1.54DNR H?.Conclude that the average age at marriage for Indiana men is not below thenational averageC2.35Reject H?. Conclude that the average age at marriage for Indiana men is below the nationalaverageD2.35DNR H?.Conclude that the average age at marriage for Indiana men is not below thenational average 13 The expected fill of bottles of a beverage filled in a bottling plant is 750 milliliters (ml). A random sample ofn = 24 bottles provided a sample mean of xx = 750.67 with a standard deviation of s = 1.971.Does the sample provide significant evidence that the mean fill exceeds the expected fill? Compute the teststatistic (TS) and the critical value at the 5% level of significance. TS = _______.(If TS is negative, use the absolute value.)A1.667Reject H?. Conclude the mean fill is greater than the expected fill.B1.667DNR H?.Conclude the mean fill is not greater than the expected fill.C2.107Reject H?. Conclude the mean fill is greater than the expected fill.D2.107DNR H?.Conclude the mean fill is not greater than the expected fill. 14 The national obesity statistics indicates that 25.6% of adults in the United States are obese. In a randomsample of n = 985 adults in Indiana, the proportion who were obese was px = 0.282.Does the sample provide significant evidence that the obesity rate in Indiana is higher than the nationalrate? State the null and alternative hypotheses and compute the test statistic (TS) and the probabilityvalue….e a 5% level of significance. P-value = ______.A 0.0307 DNR H?.Conclude the Indiana obesity rate is not higher than the national rate.B 0.0307 Reject H?. Conclude the Indiana obesity rate is higher than the national rate.C 0.0566 DNR H?.Conclude the Indiana obesity rate is not higher than the national rate.D 0.0566 Reject H?. Conclude the Indiana obesity rate is higher than the national rate. 15 The national tobacco use statistics indicates that 23.1% of male population smoke cigarettes. In a sample ofn = 825 of IUPUI male students the proportion who smoked was px = 0.204.Does the sample provide significant evidence that the proportion of male IUPUI students who smoke isdifferent from the national rate? State the null and alternative hypotheses and compute the test statistic….e the 5% level of significance to determine the critical value. TS = ______.2.07DNR H?.AConclude that proportion IUPUI male students who smoke is not different from thenational rate.B2.07Reject H?. Conclude that proportion IUPUI male students who smoke is different from thenational rate.C1.84DNR H?.Conclude that proportion IUPUI male students who smoke is not different from thenational rate.D1.84Reject H?. Conclude that proportion IUPUI male students who smoke is different from thenational rate.